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Finding the Fourth Proportional to 16,224.81, 24,322.17 and 6,364.17

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Solution

The fourth proportional to 16,224.81, 24,322.17 and 6,364.17 is: 9,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.81 : 24,322.17 = 6,364.17 : x
  2. Step 2: Convert to fraction form
    16,224.81/24,322.17 = 6,364.17/x
  3. Step 3: Cross multiply
    16,224.81x = 24,322.17 × 6,364.17
  4. Step 4: Simplify right side
    16,224.81x = 154,790,448.51
  5. Step 5: Solve for x
    x = 154,790,448.51/16,224.81
  6. Step 6: Final answer
    x = 9,540.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.